Conjugacy of maximal and submaximal \(\mathfrak{X}\)-subgroups

DOI10.1007/S10469-018-9490-9zbMath1483.20039OpenAlexW2894353116MaRDI QIDQ1757646

Wen-Bin Guo, Danila Olegovitch Revin

Publication date: 15 January 2019

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-018-9490-9

zbMATH Keywords

finite groupmaximal \(\mathfrak{X}\)-subgroupsubmaximal \(\mathfrak{X}\)-subgroup\(\mathcal{D}_{\mathcal{X}}\)-property\(\mathcal{D}_\pi\)-propertyHall \({\pi}\)-subgroup

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Maximal subgroups (20E28) Subnormal subgroups of abstract finite groups (20D35)

Related Items (4)

The reduction theorem for relatively maximal subgroups ⋮ Submaximal soluble subgroups of odd index in alternating groups ⋮ Maximal and submaximal \(\mathfrak{X}\)-subgroups ⋮ Submaximal and epimaximal \(\mathfrak{X}\)-subgroups

Cites Work

• On the number of classes of conjugate Hall subgroups in finite simple groups.
• On the Hall \(D_ \pi\)-property for finite groups
• Maximal and submaximal \(\mathfrak{X}\)-subgroups
• Solvability of groups of odd order
• Eine Verallgemeinerung der invarianten Untergruppen
• Structure Theory for Canonical Classes of Finite Groups
• Theorems of Sylow type
• Theorems Like Sylow's
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